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38150611680 = 25352632771091
BaseRepresentation
bin100011100001111101…
…000010001011100000
310122110210002212122210
4203201331002023200
51111113024033210
625305352002120
72520256564056
oct434175021340
9118423085583
1038150611680
11151a8031245
127488690340
13379cb8c64c
141bbcb1a1d6
15ed4474e20
hex8e1f422e0

38150611680 has 192 divisors, whose sum is σ = 121177824768. Its totient is φ = 10088970240.

The previous prime is 38150611663. The next prime is 38150611699. The reversal of 38150611680 is 8611605183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34967935 + ... + 34969025.

It is an arithmetic number, because the mean of its divisors is an integer number (631134504).

Almost surely, 238150611680 is an apocalyptic number.

38150611680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38150611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60588912384).

38150611680 is an abundant number, since it is smaller than the sum of its proper divisors (83027213088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38150611680 is a wasteful number, since it uses less digits than its factorization.

38150611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 38150611680 in words is "thirty-eight billion, one hundred fifty million, six hundred eleven thousand, six hundred eighty".